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Finding the Third Proportional to 391,944 and 588,444

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Solution

The third proportional to 391,944 and 588,444 is: 883,458.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,944 : 588,444 = 588,444 : x
  2. Step 2: Convert to fraction form
    391,944/588,444 = 588,444/x
  3. Step 3: Cross multiply
    391,944x = 588,444 × 588,444
  4. Step 4: Simplify right side
    391,944x = 346,266,341,136
  5. Step 5: Solve for x
    x = 346,266,341,136/391,944
  6. Step 6: Final answer
    x = 883,458.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.